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96134301705824 = 25174710336504331
BaseRepresentation
bin10101110110111100000010…
…111001110110011001100000
3110121101100102202222101000022
4111312330002321312121200
5100100031022214041244
6540243253304213012
726151321420612644
oct2566740271663140
9417340382871008
1096134301705824
11286a4368107a18
12a94757b16a168
13418456c4baac5
1419a4cd43cac24
15b1aa191476ee
hex576f02e76660

96134301705824 has 96 divisors (see below), whose sum is σ = 206648395140096. Its totient is φ = 43847248988160.

The previous prime is 96134301705821. The next prime is 96134301705857. The reversal of 96134301705824 is 42850710343169.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96134301705821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15618662 + ... + 20885669.

It is an arithmetic number, because the mean of its divisors is an integer number (2152587449376).

It is a 1-persistent number, because it is pandigital, but 2⋅96134301705824 = 192268603411648 is not.

Almost surely, 296134301705824 is an apocalyptic number.

96134301705824 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

96134301705824 is an abundant number, since it is smaller than the sum of its proper divisors (110514093434272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

96134301705824 is a wasteful number, since it uses less digits than its factorization.

96134301705824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36504508 (or 36504500 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 53.

The spelling of 96134301705824 in words is "ninety-six trillion, one hundred thirty-four billion, three hundred one million, seven hundred five thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 47 68 94 103 136 188 206 272 376 412 544 752 799 824 1504 1598 1648 1751 3196 3296 3502 4841 6392 7004 9682 12784 14008 19364 25568 28016 38728 56032 77456 82297 154912 164594 329188 658376 1316752 2633504 36504331 73008662 146017324 292034648 584069296 620573627 1168138592 1241147254 1715703557 2482294508 3431407114 3759946093 4964589016 6862814228 7519892186 9929178032 13725628456 15039784372 19858356064 27451256912 29166960469 30079568744 54902513824 58333920938 60159137488 63919083581 116667841876 120318274976 127838167162 176717466371 233335683752 255676334324 353434932742 466671367504 511352668648 706869865484 933342735008 1022705337296 1413739730968 2045410674592 2827479461936 3004196928307 5654958923872 6008393856614 12016787713228 24033575426456 48067150852912 96134301705824